Are you on progesterone or androgen supplements at all? After SRS androgen levels plummet. Progesterone and androgens stimulate the sebaceous glands. Sebaceous glands produce the oil/sebum that lubiricate and waterproof our skin. Without any androgens or progesterone, the sebaceous glands in the skin won't really have much to stimulate them, thus leading to dry, dull skin.
I'm on a high dose of estrogen and notably progesterone, and have the opposite problem as you have, very oily skin that's hard to control.
For now, you virtually have dry to sensitive skin. I'd advise against exfoliating, in favor of a mildly abrasive warm water soaked face cloth. Try a gentle cleasning face wipe, with a your favorite moisturizer (one with oil might be a good idea since your skin could use help in this area. Consult your endo or dermatologist.
